U-tiling: UQC5579
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2220 |
*22222 |
(5,6,2) |
{8,3,4,4,4} |
{3.5.5.3.3.5.5.3}{3.5.5}{5.5.5.5... |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
True
|
|
sqc11273
|
|
P4/mmm |
123 |
tetragonal |
{7,3,4,4,4} |
24 |
(5,6) |
|
G
|
False
|
|
sqc11400
|
|
I4122 |
98 |
tetragonal |
{8,3,4,4,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc5648
|
|
P4222 |
93 |
tetragonal |
{8,3,4,4,4} |
12 |
(5,6) |
Topological data
| Vertex degrees | {8,3,4,4,4} |
| 2D vertex symbol | {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.2:208:53 3 5 7 9 11 13 66 16 18 20 22 24 26 79 29 31 33 35 37 39 105 42 44 46 48 50 52 55 57 59 61 63 65 68 70 72 74 76 78 81 83 85 87 89 91 157 94 96 98 100 102 104 107 109 111 113 115 117 170 120 122 124 126 128 130 183 133 135 137 139 141 143 196 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 55 6 13 8 10 12 15 68 19 26 21 23 25 28 81 32 39 34 36 38 41 107 45 52 47 49 51 54 58 65 60 62 64 67 71 78 73 75 77 80 84 91 86 88 90 93 159 97 104 99 101 103 106 110 117 112 114 116 119 172 123 130 125 127 129 132 185 136 143 138 140 142 145 198 149 156 151 153 155 158 162 169 164 166 168 171 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,118 4 5 32 33 21 22 36 37 64 65 92 17 18 45 46 49 50 77 78 144 30 31 47 48 90 91 131 43 44 116 117 170 56 57 84 85 99 100 88 89 157 69 70 110 111 125 126 114 115 196 82 83 138 139 95 96 136 137 140 141 168 169 183 108 109 151 152 121 122 149 150 153 154 181 182 134 135 194 195 147 148 207 208 160 161 188 189 177 178 192 193 173 174 201 202 205 206 186 187 203 204 199 200:3 5 3 5 3 5 3 5 5 5 5 3 5 5 3 5 3 5 3 5 5 5 5 5,8 3 4 4 4 8 3 4 3 3 8 4 4 8 4 4 3 4 3 4 3 3 4 4> {(2, 188): 't1*tau3*t2^-1', (2, 189): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 190): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 191): 'tau2*t3', (2, 57): 't3*tau2', (2, 58): 't3*tau2', (2, 187): 't1*tau3*t2^-1', (2, 182): 't1', (2, 176): 'tau1', (2, 177): 'tau1', (2, 178): 't2^-1*tau3*t1', (2, 179): 't2^-1*tau3*t1', (2, 174): 't3*tau2', (2, 175): 't3*tau2', (2, 166): 't3^-1*tau2^-1', (2, 60): 't3', (2, 32): 't1^-1', (0, 39): 't1', (2, 31): 't1^-1', (2, 152): 'tau3^-1*t2', (2, 153): 'tau3^-1*t2', (2, 154): 't1', (2, 155): 't1', (2, 150): 'tau3^-1', (2, 151): 'tau3^-1', (2, 140): 'tau2*t3', (2, 143): 't1', (2, 137): 'tau2', (2, 138): 'tau2', (2, 139): 'tau2*t3', (1, 197): 't1^-1', (0, 143): 't1', (2, 124): 't2^-1', (2, 125): 't2^-1', (2, 48): 't1', (2, 49): 't1', (1, 41): 't1', (2, 109): 'tau3*t2^-1', (2, 110): 'tau3*t2^-1', (2, 50): 't1', (2, 51): 't1', (2, 59): 't3', (2, 46): 't1', (2, 47): 't1'}